Colin, Sara and Gordon share some sweets in the ratio 5:2:1. Colin gets 36 more sweets than Gordon. How many sweets are there altogether?

notes:

c= Colin

s=Sara

g=Gordon

c=g+36 (1)

c : g

5 : 1

c/g=5

c=g*5 (2)

=> from statement (1) => g*5=g+36

5g-g=36

4g=36

g=36/4=9 g=9 sweets

=> from statement (2)=>c=5*9=45 c=45 sweets

s : g

2 : 1

=>s/g=2/1

=> s=2g

s=2*9 s=18 sweets

sum=c+s+g

sum=45+18+9=72 sweets

he will have 300 because he is really broke and 300 is in his imangine

step-by-step explanation: he ehe heh step by the thy

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form